Question

What will be the x – component of velocity for a slender body which is immersed in uniform flow having perturbations?

(a) Vx = V∞ + u^‘

(b) Vx = V∞ + v^‘

(c) Vx = V∞ + w^‘

(d) Vx = V∞

I had been asked this question in an online interview.

The doubt is from Linearized Velocity Potential Equation topic in portion Linearized and Conical Flows of Aerodynamics

Answer 1

The correct option is (a) Vx = V∞ + u^‘

To explain I would say: When a slender body is in a uniform laminar flow having small perturbations u^‘, v^‘, w^‘ in x, y, z direction. The x, y, z components of the velocity is given by:

Vx = V∞ + u^‘

Vy = v^‘

Vz = w^‘